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Simplifying 1x + 47 = 6x + 12 Reorder the terms: 47 + 1x = 6x + 12 Reorder the terms: 47 + 1x = 12 + 6x Solving 47 + 1x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 47 + 1x + -6x = 12 + 6x + -6x Combine like terms: 1x + -6x = -5x 47 + -5x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 47 + -5x = 12 + 0 47 + -5x = 12 Add '-47' to each side of the equation. 47 + -47 + -5x = 12 + -47 Combine like terms: 47 + -47 = 0 0 + -5x = 12 + -47 -5x = 12 + -47 Combine like terms: 12 + -47 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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